169=a^2+144

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Solution for 169=a^2+144 equation:


Simplifying
169 = a2 + 144

Reorder the terms:
169 = 144 + a2

Solving
169 = 144 + a2

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-1a2' to each side of the equation.
169 + -1a2 = 144 + a2 + -1a2

Combine like terms: a2 + -1a2 = 0
169 + -1a2 = 144 + 0
169 + -1a2 = 144

Add '-169' to each side of the equation.
169 + -169 + -1a2 = 144 + -169

Combine like terms: 169 + -169 = 0
0 + -1a2 = 144 + -169
-1a2 = 144 + -169

Combine like terms: 144 + -169 = -25
-1a2 = -25

Divide each side by '-1'.
a2 = 25

Simplifying
a2 = 25

Take the square root of each side:
a = {-5, 5}

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